120 square inches because a circle is 360 degrees so there will be 6 60 degree sections in it and each 60 degree section needs 20 square inches to cover it so 6 x 20= 120
sum of two angles of triangle are equal to the exterior angle of triangle
Answer:
y = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2x - 9y = 11
<em>x</em> = 7
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: 2(7) - 9y = 11
- Multiply: 14 - 9y = 11
- [Subtraction Property of Equality] Subtract 14 on both sides: -9y = -3
- [Division Property of Equality] Divide -9 on both sides: y = 1/3
Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.
<span>Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45
To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.
Recall that the equation of a linear function satisfying two points

and

is given by

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by

Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is

</span>
The table in Part A represents y as a function of x. This means that the value of Y is dependent on the value of X. The table can be represented by an equation that describes the relation of X and Y:

or

By substituting any value of X, you get a specific value of Y based from the given relationship, thus Y is a function of X.
For Part B, the value of f(150) is $470 and it represents the total cost for borrowing a rowboat for 150 hours. By substituting the value of x = 150 into the function, you get the total cost: